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Finding the Fourth Proportional to 483,286.91, 724,652.60 and 199,173.60

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Solution

The fourth proportional to 483,286.91, 724,652.60 and 199,173.60 is: 298,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,286.91 : 724,652.60 = 199,173.60 : x
  2. Step 2: Convert to fraction form
    483,286.91/724,652.60 = 199,173.60/x
  3. Step 3: Cross multiply
    483,286.91x = 724,652.60 × 199,173.60
  4. Step 4: Simplify right side
    483,286.91x = 144,331,666,095.49
  5. Step 5: Solve for x
    x = 144,331,666,095.49/483,286.91
  6. Step 6: Final answer
    x = 298,645.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.